Okay, this: I did all the quests in Solitude to earn my right to buy Proudspire Manor in Solitude:


But after that there happened nothing: no mention to help 5 people, no thanks from the jarl, no mention about buying a house, nothing.
I want entrance to the house to get a certain item and can of course use a console command to enter the house. But I actually just want to buy the house.
Anything known on other issues/tips on this?

Which quest did you do first?

I believe the quest for Firebeard first. Can not look it up in the journal as the quest for the jarl is a sidequest and not noted in the journal.
But no house, no thane, nothing.

Mmm, just did see that Bryling is still Thane of Solitude. Can not talk to her.
Maybe using the console to reset the "assisting people" quest will solve it.

There's other things to do than just those 2, and u don't need to be told to go and help people around the town, just do it and then maybe the jarl might say sumthing more.

If you want access to the manor, go pickpocket the Solitude fletcher for his fletcher store key. Once you have done so, you can unlock the Backdoor to the manor. Other than that, the manor isn't much of a home to my tastes.

there is a third quest you need to do to be able to buy the house ; leave solitude to another city and wait till a courier arrive with a letter from Falk all i can say without giving away too many spoilers

Yes, this.

It has to do with one of the 2 quests you mentioned, there is a second part to it and you don't get it until you go to another city and wait about 24 to 48 hours.

Yes, I did get that letter and also did complete that quest. But nothing happened after that.